I managed to work on the coat last night. I sewed the sleeves to the lining and finished the front panels. Here's how it looks now (please note that the front part is fixed to the lining with pins, thus the weird look).

Pockets in seam, with flaps make an interesting detail on the coat. Here are brief instructions on how I made them. I fused an interfacing to the wrong side of the flap and pressed the flap, thus making a sharp edge. Then I pinned the sides of the flap, with right sides together and made a stitch. I cut off the SAs corners, in order to reduce the bulk. I also grades the SAs. I turned the flaps inside out and pressed them well. Then I topstitched them.

In seam pockets are sewed in before sewing the front coat panels. I laid out the pocket flap on the center front panel, and aligned the raw edges. I aligned the flap's edges with the pocket notches on the panel. Then I laid out the pocket over the flap, aligning the raw edges again. I sewed the pieces together, making the stitch from one pocket notch to the other.

After these steps I sewed the front panels together. I laid the side panel over the center panel, making sure the pocket notches were perfectly aligned. Then I sewed the panels, stopping the stitch at the pocket notch. After that I fixed together the top and bottom pockets and sewed them.

I like enforcing the pockets a bit more, since they can wear down. Therefore, they're the only part of the lining I serge. Also, I enforce them by sewing twice along the seamline. This way, I ensure the pocket seam will not rip off and the lining fray out.

The final step is pressing the seams. In order to make the pocket lay smoothly, I like cutting the SAs where pocket notches are placed, on both sides of the seam. Unfortunately, I forgot to take a picture of the next step - in order to reduce bulk, I cut off the pocket flap's SAs, and then I pressed the pieces from the right side of the fabric, thus pressing the seam between the pocket flap and center front panel.